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Stirrup Spacing for Practical Design Formula

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Stirrup Spacing is the approximate minimum spacing between two bars in a section. Check FAQs

s = \frac{A v \cdot Φ \cdot fy steel \cdot d eff}{(Vu) - ((2 \cdot Φ) \cdot \sqrt{f c} \cdot bw \cdot d eff)}

s - Stirrup Spacing?A_v - Stirrup Area?Φ - Capacity Reduction Factor?fy_steel - Yield Strength of Steel?d_eff - Effective Depth of Beam?Vu - Design of Shear Stress?f_c - 28 Day Compressive Strength of Concrete?bw - Breadth of Web?

Stirrup Spacing for Practical Design Example

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Here is how the Stirrup Spacing for Practical Design equation looks like with Values.

Here is how the Stirrup Spacing for Practical Design equation looks like with Units.

Here is how the Stirrup Spacing for Practical Design equation looks like.

295.7346 = \frac{500 \cdot 0.75 \cdot 250 \cdot 4}{(1275) - ((2 \cdot 0.75) \cdot \sqrt{15} \cdot 300 \cdot 4)}

295.7346mm = \frac{500mm² \cdot 0.75 \cdot 250MPa \cdot 4m}{(1275kN) - ((2 \cdot 0.75) \cdot \sqrt{15MPa} \cdot 300mm \cdot 4m)}

295.7346 = \frac{500 \cdot 0.75 \cdot 250 \cdot 4}{(1275) - ((2 \cdot 0.75) \cdot \sqrt{15} \cdot 300 \cdot 4)}

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Stirrup Spacing for Practical Design Solution

Follow our step by step solution on how to calculate Stirrup Spacing for Practical Design?

FIRST Step Consider the formula

s = \frac{A v \cdot Φ \cdot fy steel \cdot d eff}{(Vu) - ((2 \cdot Φ) \cdot \sqrt{f c} \cdot bw \cdot d eff)}

Next Step Substitute values of Variables

∴

s = \frac{500mm² \cdot 0.75 \cdot 250MPa \cdot 4m}{(1275kN) - ((2 \cdot 0.75) \cdot \sqrt{15MPa} \cdot 300mm \cdot 4m)}

Next Step Convert Units

∴

s = \frac{0.0005m² \cdot 0.75 \cdot 2.5E+8Pa \cdot 4m}{(1.3E+6N) - ((2 \cdot 0.75) \cdot \sqrt{1.5E+7Pa} \cdot 0.3m \cdot 4m)}

Next Step Prepare to Evaluate

∴

s = \frac{0.0005 \cdot 0.75 \cdot 2.5E+8 \cdot 4}{(1.3E+6) - ((2 \cdot 0.75) \cdot \sqrt{1.5E+7} \cdot 0.3 \cdot 4)}

Next Step Evaluate

∴

s = 0.295734647574048m

Next Step Convert to Output's Unit

∴

s = 295.734647574048mm

LAST Step Rounding Answer

∴

s = 295.7346mm

Stirrup Spacing for Practical Design Formula Elements

Variables

Functions

Stirrup Spacing

Stirrup Spacing is the approximate minimum spacing between two bars in a section.

Symbol: s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Stirrup Spacing

Stirrup Area

Stirrup Area is the total cross-sectional area of the stirrup bars used.

Symbol: A_v

Measurement: AreaUnit: mm²

Note: Value can be positive or negative.

Formulas to find Stirrup Area

Capacity Reduction Factor

The Capacity Reduction Factor is a safety factor to account for the uncertainties in material strength, workmanship, dimensions etc.

Symbol: Φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Capacity Reduction Factor

Yield Strength of Steel

Yield Strength of Steel is the level of stress that corresponds to the yield point.

Symbol: fy_steel

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Effective Depth of Beam

Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.

Symbol: d_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Design of Shear Stress

Design of Shear Stress is the force per unit area acting parallel to a surface, causing deformation or sliding.

Symbol: Vu

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Design of Shear Stress

28 Day Compressive Strength of Concrete

28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

Symbol: f_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find 28 Day Compressive Strength of Concrete

Breadth of Web

Breadth of Web is the effective width of the member for flanged section.

Symbol: bw

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of Web

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Shear Reinforcement category

Go Ultimate Shear Capacity of Beam Section

V n = (V c + V s)

Go Nominal Shear Strength of Concrete

V c = (1.9 \cdot \sqrt{f c} + ((2500 \cdot ρ w) \cdot (\frac{V u \cdot D centroid}{B M}))) \cdot (b w \cdot D centroid)

How to Evaluate Stirrup Spacing for Practical Design?

Stirrup Spacing for Practical Design evaluator uses Stirrup Spacing = (Stirrup Area*Capacity Reduction Factor*Yield Strength of Steel*Effective Depth of Beam)/((Design of Shear Stress)-((2*Capacity Reduction Factor)*sqrt(28 Day Compressive Strength of Concrete)*Breadth of Web*Effective Depth of Beam)) to evaluate the Stirrup Spacing, The Stirrup Spacing for Practical Design is defined as the stirrup spacing for the design shear, stirrup area, and geometry of the member. Stirrup Spacing is denoted by s symbol.

How to evaluate Stirrup Spacing for Practical Design using this online evaluator? To use this online evaluator for Stirrup Spacing for Practical Design, enter Stirrup Area (A_v), Capacity Reduction Factor (Φ), Yield Strength of Steel (fy_steel), Effective Depth of Beam (d_eff), Design of Shear Stress (Vu), 28 Day Compressive Strength of Concrete (f_c) & Breadth of Web (bw) and hit the calculate button.

FAQs on Stirrup Spacing for Practical Design

What is the formula to find Stirrup Spacing for Practical Design?

The formula of Stirrup Spacing for Practical Design is expressed as Stirrup Spacing = (Stirrup Area*Capacity Reduction Factor*Yield Strength of Steel*Effective Depth of Beam)/((Design of Shear Stress)-((2*Capacity Reduction Factor)*sqrt(28 Day Compressive Strength of Concrete)*Breadth of Web*Effective Depth of Beam)). Here is an example- 295734.6 = (0.0005*0.75*250000000*4)/((1275000)-((2*0.75)*sqrt(15000000)*0.3*4)).

How to calculate Stirrup Spacing for Practical Design?

With Stirrup Area (A_v), Capacity Reduction Factor (Φ), Yield Strength of Steel (fy_steel), Effective Depth of Beam (d_eff), Design of Shear Stress (Vu), 28 Day Compressive Strength of Concrete (f_c) & Breadth of Web (bw) we can find Stirrup Spacing for Practical Design using the formula - Stirrup Spacing = (Stirrup Area*Capacity Reduction Factor*Yield Strength of Steel*Effective Depth of Beam)/((Design of Shear Stress)-((2*Capacity Reduction Factor)*sqrt(28 Day Compressive Strength of Concrete)*Breadth of Web*Effective Depth of Beam)). This formula also uses Square Root (sqrt) function(s).

Can the Stirrup Spacing for Practical Design be negative?

Yes, the Stirrup Spacing for Practical Design, measured in Length can be negative.

Which unit is used to measure Stirrup Spacing for Practical Design?

Stirrup Spacing for Practical Design is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Stirrup Spacing for Practical Design can be measured.

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Stirrup Spacing for Practical Design Formula

Stirrup Spacing for Practical Design Example

Stirrup Spacing for Practical Design Solution

Stirrup Spacing for Practical Design Formula Elements

Other formulas in Shear Reinforcement category

How to Evaluate Stirrup Spacing for Practical Design?

FAQs on Stirrup Spacing for Practical Design

Variable Name